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Finding the Fourth Proportional to 21,920.14, 30,245.95 and 12,964.38

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Solution

The fourth proportional to 21,920.14, 30,245.95 and 12,964.38 is: 17,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.14 : 30,245.95 = 12,964.38 : x
  2. Step 2: Convert to fraction form
    21,920.14/30,245.95 = 12,964.38/x
  3. Step 3: Cross multiply
    21,920.14x = 30,245.95 × 12,964.38
  4. Step 4: Simplify right side
    21,920.14x = 392,119,989.26
  5. Step 5: Solve for x
    x = 392,119,989.26/21,920.14
  6. Step 6: Final answer
    x = 17,888.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.